Lesson 2.3: Combinations and Separations of Functions Answers

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.

✔ 68 20 96

✔ 1015 75 135

10 50 225 ✔ 600

Which graph represents the situation h(x) = f(x) – g(x)?

The functions f(x) and g(x) are combined using multiplication. Which statements describe the resulting graph, h(x)? Check all that apply.

Henri puts aside $10 cash every month in a shoebox. He also makes a one-time deposit of $1,500 in a savings account at 9% annual interest, compounded yearly.Amount of shoebox savings: f(t) = 120tAmount of savings account: g(t) = 1,500(1.09)tWhich function represents the amount of money Henri will have after t years?

Janet has money invested in two different accounts. The function f(x) represents the amount of money in an account after x years of interest compounded monthly, while the function g(x) represents the amount of money in an account after x years of simple interest.

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A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.